A213150 -id:A213150 - cp's OEIS frontend

A213149 Polylogarithm li(-n,-6/7) multiplied by (13^(n+1))/7.

1, -6, -6, 498, 2010, -163806, -1426326, 113319858, 1731433530, -133040247486, -3200805321846, 235719742497618, 8363215587567450, -584103976037953566, -29313609779751086166, 1917198413998763777778

Offset: 0

Stanislav Sykora, Jun 06 2012

sign

See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=6,q=7.

			polylog(-5,-6/7)*13^6/7 = -163806.

Stanislav Sykora, Table of n, a(n) for n = 0..100

Cf. A212846, A210246, A212847, A213127 to A213148.

Cf. A213150 to A213157.

p = 6; q = 7; f[n_] := PolyLog[-n, -p/q] (p + q)^(n + 1)/q; f[0] = 1; Array[f, 20, 0] (* Robert G. Wilson v, Dec 25 2015 *)

PARI
```
\\ in A212846; run limnpq(nmax, 6, 7)
```

See formula in A212846, setting p=6,q=7.

A213151 Polylogarithm li(-n,-7/9) multiplied by (16^(n+1))/9.

Original entry on oeis.org

1, -7, -14, 854, 7000, -405832, -7373744, 396878384, 13211201920, -640085041792, -35826474785024, 1495566369860864, 136414677606538240, -4577281372443415552, -691769416923579029504, 16372660554702059116544

Offset: 0

Stanislav Sykora, Jun 06 2012

sign

See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=7,q=9.

			polylog(-5,-7/9)*16^6/9 = -405832.

Stanislav Sykora, Table of n, a(n) for n = 0..100

Cf. A212846, A210246, A212847, A213127 to A213150.

Cf. A213152 to A213157.

p = 7; q = 9; f[n_] := PolyLog[-n, -p/q] (p + q)^(n + 1)/q; f[0] = 1; Array[f, 20, 0] (* Robert G. Wilson v, Dec 25 2015 *)

PARI
```
in A212846; run limnpq(nmax, 7, 9)
```

See formula in A212846, setting p=7,q=9.

cp's OEIS Frontend

A213149 Polylogarithm li(-n,-6/7) multiplied by (13^(n+1))/7.

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